And a fun 'fact', Ken Levine (the creator of Bioshock and the lead of Infinite) has been said to disavow Bioshock 2.

Only because Irrational games (Levine's Studio) didn't make Bioshock 2; Instead, Arkane Studios (the madmen that made Dishonored) did, while still under the 2K games label. So, while Bioshock 2 may not be 'canon' according to Levine, It's canon according to everyone that's played it and finds its Anti-Extreme Collectivisim Message to be just as relevant as Bioshock 1's Anti-Extreme Objectivism Message.

Tl;Dr, Bioshock 2 takes a good firm poke at 'Creating Utopia through pure altruism', aka. 'Pure' Collectivism as a philosophy, just as Bioshock took a good firm poke at if a nation built entirely on the principles of Objectivism (aka. Ayn Randianism, aka. 'Fuck you all got mine'ism)

Only because Irrational games (Levine's Studio) didn't make Bioshock 2; Instead, Arkane Studios (the madmen that made Dishonored) did, while still under the 2K games label. So, while Bioshock 2 may not be 'canon' according to Levine, It's canon according to everyone that's played it and finds its Anti-Extreme Collectivisim Message to be just as relevant as Bioshock 1's Anti-Extreme Objectivism Message.

Well, it doesn't really matter because Infinite takes place before Rapture was even made.